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Hello can someone help me to solve this.

I do not even know how to start: D

Giving is a quadratic function f (x) and g (x). Determine the slope at the point x = 4!

f (x) = 2x² + 4x + 2
g (x) = 0.25 (x-2) 2 - 4

 

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f (x) = 2x² + 4x + 2
1.
Derivation => f `(x) = 4x + 4
Gradient at the point x = 4
=> f` (4) = 4 * 4 + 4
=> f` (4) = 20

g (x) = 0.25 (x-2) 2 - 4
What you say about? 

 Oct 4, 2018
edited by JustinRunyon  Oct 8, 2018
edited by JustinRunyon  Oct 8, 2018
edited by JustinRunyon  Oct 8, 2018
 #1
avatar+18439 
+2

Are you doing derivatives yet?

 

Derivative will tell you the slope of the curve at the given point

 

First one derivative = 4x + 4           put x = 4   in there to get    slope =20

 

Second one

    .25 (x^2-4x+4) -4

    .25x^2 -x -3              ---------------->  derivative : .5x -1     at x= 4    .5(4)-1 = 1 = slope 

 Oct 4, 2018

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